Normal form for space curves in a double plane

Details Normal form for space curves in a double plane Normal form for space curves in a double plane

2003-11-28

arxiv.org/abs/math/0311536v1

Mathematics

Algebraic Geometry

Scientific paper

This note is an attempt to relate explicitly the geometric and algebraic properties of a space curve that is contained in some double plane. We show in particular that the minimal generators of the homogeneous ideal of such a curve can be written in a very specific form. As applications we characterize the possible Hartshorne-Rao modules of curves in a double plane and the minimal curves in their even Liaison classes.

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